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Beliebt Rechnen >

y^{''}+4y=g(x),y(0)=1,y^'(0)=3

Lösung

y^{^{''}} + 4 y = g (x), y (0) = 1, y^{^{'}} (0) = 3

Lösung

y = cos (2 x) + \frac{sin ( 2 x ) ( 12 - g )}{8} + \frac{gx}{4}

Schritte zur Lösung

y^{''} (x) + 4 y = g (x)

Solve linear ODE:

y = cos (2 x) + \frac{sin ( 2 x ) ( 12 - g )}{8} + \frac{gx}{4}

y = cos (2 x) + \frac{sin ( 2 x ) ( 12 - g )}{8} + \frac{gx}{4}

Graph

Beliebte Beispiele

y^{''}+4y^'-5y=10x^2+9e^x

y^{^{''}} + 4 y^{^{'}} - 5 y = 10 x^{2} + 9 e^{x}

(d-1)^2(d-3)^3y=e^3x

(d - 1)^{2} (d - 3)^{3} y = e^{3} x

y^{''}+y^'-6y=50xe^x

y^{^{''}} + y^{^{'}} - 6 y = 50 x e^{x}

y^{^{''}} - 9 y = 1

y^{''}-3y^'-4y=t^2,y(0)=1,y^'(0)=4

y^{^{''}} - 3 y^{^{'}} - 4 y = t^{2}, y (0) = 1, y^{^{'}} (0) = 4